Extensions 1→N→G→Q→1 with N=Q8.D10 and Q=C2

Direct product G=NxQ with N=Q8.D10 and Q=C2
dρLabelID
C2xQ8.D10160C2xQ8.D10320,1437

Semidirect products G=N:Q with N=Q8.D10 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8.D10:1C2 = D40:C22φ: C2/C1C2 ⊆ Out Q8.D10808+Q8.D10:1C2320,1449
Q8.D10:2C2 = C40.C23φ: C2/C1C2 ⊆ Out Q8.D10808+Q8.D10:2C2320,1450
Q8.D10:3C2 = C16:D10φ: C2/C1C2 ⊆ Out Q8.D10804+Q8.D10:3C2320,541
Q8.D10:4C2 = SD32:3D5φ: C2/C1C2 ⊆ Out Q8.D101604Q8.D10:4C2320,543
Q8.D10:5C2 = D80:5C2φ: C2/C1C2 ⊆ Out Q8.D101604+Q8.D10:5C2320,546
Q8.D10:6C2 = D20.30D4φ: C2/C1C2 ⊆ Out Q8.D101604Q8.D10:6C2320,1438
Q8.D10:7C2 = D8:15D10φ: C2/C1C2 ⊆ Out Q8.D10804+Q8.D10:7C2320,1441
Q8.D10:8C2 = D5xC4oD8φ: trivial image804Q8.D10:8C2320,1439

Non-split extensions G=N.Q with N=Q8.D10 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8.D10.1C2 = Q32:D5φ: C2/C1C2 ⊆ Out Q8.D101604Q8.D10.1C2320,545
Q8.D10.2C2 = D40:1C4φ: C2/C1C2 ⊆ Out Q8.D10808+Q8.D10.2C2320,245
Q8.D10.3C2 = Q16:F5φ: C2/C1C2 ⊆ Out Q8.D10808+Q8.D10.3C2320,1079
Q8.D10.4C2 = Q16.F5φ: C2/C1C2 ⊆ Out Q8.D101608+Q8.D10.4C2320,247
Q8.D10.5C2 = Q16:5F5φ: C2/C1C2 ⊆ Out Q8.D10808+Q8.D10.5C2320,1078

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